Dual combination combination multi switching synchronization of eight chaotic systems

•Multi switching synchronization involving eight chaotic systems is proposed.•Dual synchronization study is extended to pair of two drive and two response systems.•Dual synchronization study is combined with multi switching studies.•Several existing synchronization schemes are obtained as special ca...

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Bibliographic Details
Published in:Chinese journal of physics (Taipei) 2017-08, Vol.55 (4), p.1209-1218
Main Authors: Khan, Ayub, Khattar, Dinesh, Prajapati, Nitish
Format: Article
Language:English
Subjects:
Chaos synchronization
Combination combination synchronization
Dual synchronization
Multi switching synchronization
Nonlinear control
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Summary:•Multi switching synchronization involving eight chaotic systems is proposed.•Dual synchronization study is extended to pair of two drive and two response systems.•Dual synchronization study is combined with multi switching studies.•Several existing synchronization schemes are obtained as special cases of this scheme.•The result is validated by performing numerical simulations on MATLAB. In this paper, a novel scheme for synchronizing four drive and four response systems is proposed by the authors. The idea of multi switching and dual combination synchronization is extended to dual combination-combination multi switching synchronization involving eight chaotic systems and is a first of its kind. Due to the multiple combination of chaotic systems and multi switching the resultant dynamic behaviour is so complex that, in communication theory, transmission and security of the resultant signal is more effective. Using Lyapunov stability theory, sufficient conditions are achieved and suitable controllers are designed to realise the desired synchronization. Corresponding theoretical analysis is presented and numerical simulations performed to demonstrate the effectiveness of the proposed scheme.
ISSN:0577-9073
DOI:10.1016/j.cjph.2017.06.002